Vertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$
Abstract
Description
We investigate vertex operator algebras $L(k,0)$ associated with modular-invariant representations for an affine Lie algebra $A_1 ^{(1)}$ , where k is 'admissible' rational number. We show that VOA $L(k,0)$ is rational in the category $\cal O$ and find all irreducible representations in the category of weight modules.
14 pages, Latex, No Figures, to appear in Mathematical Research Letters, 1995
14 pages, Latex, No Figures, to appear in Mathematical Research Letters, 1995